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Pith Number

pith:LQFZUK4Z

pith:2015:LQFZUK4ZHO7XCLDVS7AXFXCF3N
not attested not anchored not stored refs pending

Structural symmetry in evolutionary games

Alex McAvoy, Christoph Hauert

arxiv:1509.03777 v1 · 2015-09-12 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LQFZUK4ZHO7XCLDVS7AXFXCF3N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T01:17:25.382645Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5c0b9a2b993bbf712c7597c172dc45db57aa596b9f5a7523b47fe801db819b50

Aliases

arxiv: 1509.03777 · arxiv_version: 1509.03777v1 · doi: 10.48550/arxiv.1509.03777 · pith_short_12: LQFZUK4ZHO7X · pith_short_16: LQFZUK4ZHO7XCLDV · pith_short_8: LQFZUK4Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LQFZUK4ZHO7XCLDVS7AXFXCF3N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5c0b9a2b993bbf712c7597c172dc45db57aa596b9f5a7523b47fe801db819b50
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "08908128c9cf764b45ad076f54f9f124a7eb89d06f7718dd61b1c6d51de0d0aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-09-12T20:25:06Z",
    "title_canon_sha256": "ee3237a93220f51d4aca99d3311cbf6aeb174cfe339db258a9cff2cc65a27222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03777",
    "kind": "arxiv",
    "version": 1
  }
}